Geometry & Topology 13 (2009) 3021–3054

DOI: 10.2140/gt.2009.13.3021

Abstract

Let G be any locally compact unimodular metrizable group. The main result of this paper, roughly stated, is that if F〈G is any finitely generated free group and Γ〈G any lattice, then up to a small perturbation and passing to a finite index subgroup, F is a subgroup of Γ. If G ∕ Γ is noncompact then we require additional hypotheses that include G = SO(n,1).

Keywords

free group, surface group, Kleinian group, limit set

Mathematical Subject Classification

Primary: 20E07

Secondary: 20E05, 20F65, 20F67, 22D40

References

Publication

Received: 27 May 2007
Revised: 26 August 2009
Accepted: 17 August 2009
Published: 26 September 2009
Proposed: Martin Bridson
Seconded: Benson Farb, Jean-Pierre Otal

Authors